Quarkonium Decay Matrix Elements from Quenched Lattice QCD

Details Quarkonium Decay Matrix Elements from Quenched Lattice QCD Quarkonium Decay Matrix Elements from Quenched Lattice QCD

1996-05-20

arxiv.org/abs/hep-lat/9605023v2

Phys.Rev.Lett.77:2376-2379,1996

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, RevTex. Minor changes and corrections -- final PRL version

Scientific paper

10.1103/PhysRevLett.77.2376

We calculate the long-distance matrix elements for the decays of the lowest-lying S- and P-wave states of charmonium and bottomonium in quenched lattice QCD, using a nonrelativistic formulation for the heavy quarks. (The short-distance coefficients are known from perturbation theory.) In particular, we present the first calculation from QCD first principles of the color-octet contribution to P-wave decay---a contribution that is absent in potential models. We also give the relations between the lattice matrix elements and their continuum counterparts through one-loop order in perturbation theory.

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